Linear inequality problem(solved)

Hello, I'm a new member and if I unknowingly made a mistake by posting in the wrong forum, I apologize. I've stumbled upon a problem while studying for a important test and I'd really like to understand it.

I'm supposed to find out what x could be.

(x-3)+x≥3(3-x)

I got this:

(x-3)+x≥3(3-x)
2x-3≥9-3x
2x≥12-3x
-1x≥12
x≥-12

But the answer book says it's x≥2,4
I think there's something wrong with my simplifying.